Towards a Predictive HFB+QRPA Framework for Deformed Nuclei: Selected Tools and Techniques

Abstract

Reliable predictions of the static and dynamic properties of a nucleus require a fully microscopic description of both ground and excited states of this complicated many-body quantum system. Predictive calculations are key to understanding such systems and are important ingredients for simulating stellar environments and for enabling a variety of contemporary nuclear applications. Challenges that theory has to address include accounting for nuclear deformation and the ability to describe medium-mass and heavy nuclei. Here, we perform a study of nuclear states in an Hartree-Fock-Bogoliubov (HFB) and Quasiparticle Random Phase Approximation (QRPA) framework that utilizes an axially-symmetric deformed basis. We present some useful techniques for testing the consistency of such calculations and for interpreting the results.

Predicting nucleon-nucleus scattering observables using nuclear structure theory

“…We note that the use of axially-deformed harmonic oscillator as the computational basis will allow us to extend our approach to study scattering from deformed nuclei in the future. The details of the structure results for Zr isotopes used in these proceedings are available in [20,21].…”

“…90 Zr : HFB+QRPA nuclear structure results[20], used in the folding approach, in comparison to experimental data for the first 2 + and 3 − excited states.…”